Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
394 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 105 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C4⋊C16×D43 | C2 | semidirect |
| 3. #19136188 | C2 | semidirect |
| 4. #19132554 | C2 | semidirect |
| 5. #19132553 | C2 | semidirect |
| 6. #19132552 | C2 | semidirect |
| 7. C43×#1330 | C2 | semidirect |
| 168. #1330 | D43 | semidirect |
| 194. C43 | #11586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143304 | 2 |
| C4⋊C16×D43 | 2 |
| #19136188 | 2 |
| #19132554 | 2 |
| #19132553 | 2 |
| #19132552 | 2 |
| C43×#1330 | 2 |
| #11586 | 43 |